Answer: 180 degrees counterclockwise rotation
Step-by-step explanation:
Given: The clock was running 30 minutes faster.
To correct it Hilary turn the minute hand back 30 minutes, which means a anticlockwise rotation.
We know that a full rotation in a clock is of [tex]360^{\circ}[/tex].
Total time taken by minute hand to complete the rotation is 60 minutes.
Therefore,
[tex]60\ minutes=360^{\circ}\\\Rightarrow1\ minute=\frac{360^{\circ}}{60}\\\Rightarrow30\ minutes=\frac{360^{\circ}}{60}\times30\\\Rightarrow\ 30 minutes= 180^{\circ}[/tex]
Hence, the rotation of the minute hand is 180 degrees counterclockwise rotation.
